10th Grade Surds and Indices

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LyricalSeattle
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5 Questions

Simplify the expression: $(2\sqrt{3} + 3\sqrt{2})^2$.

48 + 36√6

Simplify the expression: $4^{\frac{2}{3}} × 4^{\frac{1}{3}}$.

8

Simplify the surd: $5\sqrt{75}$.

25\sqrt{3}

If $a = 2^{\frac{1}{2}}$, $b = 2^{\frac{1}{4}}$, and $c = 2^{\frac{3}{4}}$, find the value of $a^2b^4c^2$.

16

Simplify the expression: $\frac{4^{\frac{2}{3}}}{4^{\frac{1}{3}}}$.

4

Test your skills on surds and indices at the 10th grade level. This quiz covers rationalisation, simplification, multiplication, division, addition and subtraction of surds, as well as index laws and simplification of fraction with indices.

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